WENO schemes for mixed-elementunstructured meshes

V. A. Titarev; P. Tsoutsanis; D. Drikakis

doi:10.4208/cicp.040909.080110a

WENO schemes for mixed-elementunstructured meshes

V. A. Titarev, P. Tsoutsanis, D. Drikakis

Faculty Of Engineering

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81 Citations (Scopus)

Abstract

The paper extends weighted essentially non-oscillatory (WENO) schemes to two-dimensional quadrilateral and mixed-element unstructured meshes. The key element of the proposed methods is a reconstruction procedure suitable for arbitrarily-shaped cells. The resulting schemes achieve the designed uniformly high-order of accuracy and compute discontinuous solutions without spurious oscillations at interfaces between cells of two different types.

Original language	English
Pages (from-to)	585-609
Number of pages	25
Journal	Communications in Computational Physics
Volume	8
Issue number	3
DOIs	https://doi.org/10.4208/cicp.040909.080110a
Publication status	Published - 15 Apr 2010

Keywords

WENO
unstructured
mixed-element
triangular
quadrilateral
finite volume

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10.4208/cicp.040909.080110a

Cite this

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abstract = "The paper extends weighted essentially non-oscillatory (WENO) schemes to two-dimensional quadrilateral and mixed-element unstructured meshes. The key element of the proposed methods is a reconstruction procedure suitable for arbitrarily-shaped cells. The resulting schemes achieve the designed uniformly high-order of accuracy and compute discontinuous solutions without spurious oscillations at interfaces between cells of two different types.",

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AU - Titarev, V. A.

AU - Tsoutsanis, P.

AU - Drikakis, D.

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N2 - The paper extends weighted essentially non-oscillatory (WENO) schemes to two-dimensional quadrilateral and mixed-element unstructured meshes. The key element of the proposed methods is a reconstruction procedure suitable for arbitrarily-shaped cells. The resulting schemes achieve the designed uniformly high-order of accuracy and compute discontinuous solutions without spurious oscillations at interfaces between cells of two different types.

AB - The paper extends weighted essentially non-oscillatory (WENO) schemes to two-dimensional quadrilateral and mixed-element unstructured meshes. The key element of the proposed methods is a reconstruction procedure suitable for arbitrarily-shaped cells. The resulting schemes achieve the designed uniformly high-order of accuracy and compute discontinuous solutions without spurious oscillations at interfaces between cells of two different types.

KW - WENO

KW - unstructured

KW - mixed-element

KW - triangular

KW - quadrilateral

KW - finite volume

UR - http://www.global-sci.com/

U2 - 10.4208/cicp.040909.080110a

DO - 10.4208/cicp.040909.080110a

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EP - 609

JO - Communications in Computational Physics

JF - Communications in Computational Physics

SN - 1815-2406

IS - 3

ER -

WENO schemes for mixed-elementunstructured meshes

Abstract

Keywords

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